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   Stability ‎A‎Nalysis of the Transmission Dynamics of An Hbv Model  
   
نویسنده Akbari R. ,Vahidian Kamyad A. ,Heydari A. A. ,Heydari A.
منبع International Journal Of Industrial Mathematics - 2016 - دوره : 8 - شماره : 2 - صفحه:119 -129
چکیده    ‎hepatitis b virus (hbv) infection is a major public health problem in the world today‎. ‎a mathematical model is formulated to describe the spread of hepatitis b‎, ‎which can be controlled by vaccination as well as treatment‎. ‎we study the dynamical behavior of the system with fixed control for both vaccination and treatment‎. ‎the results shows that the dynamics of the model is completely determined by the basic reproductive number r0. ‎if r0<1, ‎the disease-free equilibrium is globally asymptotically stable by using approach that given by kamgang and sallet‎. ‎then the authors prove that if r0>1, ‎the disease-free equilibrium is unstable and the disease is uniformly persistent‎. ‎furthermore‎, ‎if r0>1, ‎the unique endemic equilibrium is globally asymptotically stable by using a generalization of the poincar e-bendixson ‎criterion
کلیدواژه Hepatitis B Virus (Hbv); Basic Reproduction Number ($R_0$); ‎G‎Ompound Matrices; Global ‎Stability.
آدرس Payame Noor University, Department Of Mathematical Sciences, ایران, Ferdowsi University Of Mashhad, Department Of Mathematics Sciences, ایران, Mashhad University Of Medical Sciences, Research Center For Infection Control And Hand Hygiene, ایران, Payame Noor University, Department Of Mathematical Sciences, ایران
 
     
   
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